A novel analytical operator method to solve linear ordinary differential equations with variable coefficients - Mathematical PhysicsReportar como inadecuado




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Abstract: A new analytical operator method is discussed which solves linear ordinarydifferential equations with regular singularities. Solutions are obtained inanalytic series form and also in Mellin-Barnes-type contour integral form.Exact series solution is obtained without having to calculate seriescoefficients by recurrence relation.Both homogeneous and inhomogeneousequations are solved identically without having to calculate the Green-sfunction explicitly in the case of inhomogeneous equation.Closed-form solutionsare obtained for all the special functions appearing in mathematical physics.For a second-order equation both the independent solutions are obtained withoutinvoking Wronskians, even when the indices differ by an integer.



Autor: Wrick Sengupta

Fuente: https://arxiv.org/



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